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Finding the Third Proportional to 58,346 and 124,687

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Solution

The third proportional to 58,346 and 124,687 is: 266,459.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,346 : 124,687 = 124,687 : x
  2. Step 2: Convert to fraction form
    58,346/124,687 = 124,687/x
  3. Step 3: Cross multiply
    58,346x = 124,687 × 124,687
  4. Step 4: Simplify right side
    58,346x = 15,546,847,969
  5. Step 5: Solve for x
    x = 15,546,847,969/58,346
  6. Step 6: Final answer
    x = 266,459.53

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.